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🔄 Torsional Constant Calculator
Calculate torsional constant, polar moment of inertia, and torsional properties for various cross-sections
📐 Torsional Constant Formulas
J = πr⁴/2 (Circular)
J = ab³/3 (Rectangular)
J = 4A²/∮(ds/t) (Thin-walled)
τ = Tr/J (Shear Stress)
J = torsional constant, r = radius, a,b = dimensions, A = enclosed area, t = wall thickness, T = torque, τ = shear stress
Torsional Constant J:
Cross-Sectional Area:
Maximum Shear Stress:
Torsional Stiffness:
Section Efficiency:
Design Rating:
💡 Tips
- Circular sections have the highest torsional efficiency
- Thin-walled tubes are efficient for torsional loading
- Rectangular sections have lower torsional resistance
- J is always positive and has units of length⁴
- Higher J means higher torsional stiffness
- Consider warping for non-circular sections